NDLI: Flutter analysis of a nonlinear airfoil using stochastic approach

Content Provider	Springer Nature Link
Author	Irani, Saied Sazesh, Saeid Molazadeh, Vahid Reza
Copyright Year	2016
Abstract	In this paper, the dynamic instability of a nonlinear system has been studied using the stochastic vibration analysis and employing statistical properties of the system response. In this method neither the time domain analysis nor limit cycle oscillations were used. A two degrees-of-freedom airfoil subjected to an aerodynamic quasi-steady flow with a nonlinear torsional spring was considered as the case study. The spring nonlinearity was examined in hardening and softening states. A random force in the form of the white noise with Gaussian function was added to the aerodynamic lift force. The statistical linearization and random vibration analysis were applied to the nonlinear system to obtain the equation of one-dimensional nonlinear map in terms of response variance and flow speed. Furthermore, the nonlinear map was solved to analyze the response variance of the system against the flow speed. The flow velocity of the maximum variance of the system response was regarded as the flutter speed. The bifurcation point and the approaching path to the chaos were determined by investigating the nonlinear map through the iteration process. In addition, a good vision of jump phenomenon in velocity-variance diagram was given through the current stochastic analysis using the chaos intermittency cascade and the tangent bifurcation point. The aforementioned result is new in the nonlinear aeroelastic dynamic instability field.
Starting Page	1735
Ending Page	1746
Page Count	12
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	84
Issue Number	3
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-01-13
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nonlinear aeroelasticity Stochastic approach Tangent bifurcation Jump phenomenon Chaos Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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